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Finding the Fourth Proportional to 411,035.86, 567,241.43 and 224,778.27

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Solution

The fourth proportional to 411,035.86, 567,241.43 and 224,778.27 is: 310,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,035.86 : 567,241.43 = 224,778.27 : x
  2. Step 2: Convert to fraction form
    411,035.86/567,241.43 = 224,778.27/x
  3. Step 3: Cross multiply
    411,035.86x = 567,241.43 × 224,778.27
  4. Step 4: Simplify right side
    411,035.86x = 127,503,546,806.09
  5. Step 5: Solve for x
    x = 127,503,546,806.09/411,035.86
  6. Step 6: Final answer
    x = 310,200.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.